ready,'set,'go!' -...

Circles:)a)Geometric)Perspective))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))7.3)!

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Ready,'Set,'Go!'

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Ready'Topic:!Symmetry,!Trigonometric!Ratios!!Determine(the(angles!of!rotational!symmetry(and(the(number(of(lines!of!reflective!symmetry(for(each(of(the(polygons(below.((1.!!Equilateral!Triangle!!

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2.!!Rectangle!!!

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3.!!Rhombus!!

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4.!!Regular!Hexagon!

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5.!!Square!!

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6.!!Decagon!

!(!!Solve(each(right(triangle,(give(the(missing(angles(and(sides.((7.!

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8.!

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9.!

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10.!

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Name:!

2013!www.flickr.com/photos/fdecomite!!

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Circles:)a)Geometric)Perspective))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))7.3)!

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©"2013"MATHEMATICS"VISION"PROJECT"|"MVP"In"partnership"with"the"Utah"State"Office"of"Education"""

Licensed!under!the!Creative!Commons!Attribution4NonCommercial4ShareAlike!3.0!Unported!license"

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Set'Topic:!Angles!and!how!they!connect!with!arcs.!!Find(the(value(of(the(angle(or(the(intercepted(arc(indicated(in(each(figure(below.((11.!⊙!!!with!m∠!"#=110o& 12.!⊙ !!!!with!m∠!"#=130o!

&a.!!m!" =!!b.!!!∠!"#=!!c.!!m!" =!

&a.!!m!" =&&b.!&!∠!"#=&&c.!!m!" =&

!13.!⊙ !!

!14.!⊙!!with!diameter!!"!

a.!!m!" =&!b.!!m!"# =&&!∠!"#=!!!!∠!"#=!

a.!!NK=&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&NL=12!!and!!KL=!5!&b.!!m!"# =&!c.!!m!"# =&&d.!!!∠!"#=!!e.!!m!" =&!f.!!m!" =!

!15.!How!can!a!triangle!be!used!to!show!the!connection!between!an!inscribed!angle!and!the!angle!measure!of!the!arc!it!intercepts?!What!is!true!about!the!angle!measure!in!any!triangle?!What!is!true!about!the!arc!measure!for!an!entire!circle?!!!!'!!!!!!!

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Circles:)a)Geometric)Perspective))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))7.3)!

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©"2013"MATHEMATICS"VISION"PROJECT"|"MVP"In"partnership"with"the"Utah"State"Office"of"Education"""

Licensed!under!the!Creative!Commons!Attribution4NonCommercial4ShareAlike!3.0!Unported!license"

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Go'Topic:!Finding!lengths!of!arcs.!!Use(what(you(know(about(finding(circumference,(C=2πr(and(Area,(A=!"2(for(circles(to(find(the(indicated(distances(and(areas(below.((16.!⊙ !!is!cut!by!two!diameters!that!are!perpendicular!to!each!other.!

!a.!!Find!the!distance!to!walk!along!arc!NQ!!b.!!Find!the!area!inside!one!of!the!four!sectors!!c.!!Find!the!distance!to!walk!along!the!following!path:!Start!at!point!P!and!go!to!R!then!to!Q!and!over!to!N!then!back!to!P.!

!!17.!⊙ !!is!cut!by!three!diameters!that!create!equal!angles!at!the!center!of!the!circle.!

!a.!!Find!the!distance!to!walk!along!arc!UT!!b.!!Find!the!area!inside!one!of!the!six!sectors!!c.!!Find!the!distance!to!walk!along!the!following!path:!Start!at!point!U!go!to!S!then!to!V!then!to!W!followed!by!X!and!then!back!to!U.!

!!!Need!Assistance?!Check!out!these!additional!resources:!!http://www.mathopenref.com/arc.html!

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